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We consider a threshold-crossing spiking process as a simple model for the activity within a population of neurons. Assuming that these neurons are driven by a common fluctuating input with Gaussian statistics, we evaluate the…

Neurons and Cognition · Quantitative Biology 2009-06-11 Yoram Burak , Sam Lewallen , Haim Sompolinsky

A ubiquitous phenomenon observed throughout the primate hierarchical visual system is the sparsification of the neural representation of visual stimuli as a result of familiarization by repeated exposure, manifested as the sharpening of the…

Neurons and Cognition · Quantitative Biology 2024-08-21 Weifan Wang , Xueyan Niu , Tai-Sing Lee

Understanding how the brain encodes visual information is a central challenge in neuroscience and machine learning. A promising approach is to reconstruct visual stimuli, essentially images, from functional Magnetic Resonance Imaging (fMRI)…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Zheng Huang , Enpei Zhang , Weikang Qiu , Yinghao Cai , Carl Yang , Elynn Chen , Xiang Zhang , Rex Ying , Dawei Zhou , Yujun Yan

Several studies with brain signals suggested that bottom-up and top-down influences are exerted through distinct frequency bands among visual cortical areas. It has been recently shown that theta and gamma rhythms subserve feedforward,…

Neurons and Cognition · Quantitative Biology 2021-11-24 Leonardo Dalla Porta , Daniel M. Castro , Mauro Copelli , Pedro V. Carelli , Fernanda S. Matias

Visual reconstruction algorithms are an interpretive tool that map brain activity to pixels. Past reconstruction algorithms employed brute-force search through a massive library to select candidate images that, when passed through an…

Neurons and Cognition · Quantitative Biology 2023-05-03 Reese Kneeland , Jordyn Ojeda , Ghislain St-Yves , Thomas Naselaris

Whether, when, and how causal interactions between neurons can be meaningfully studied from observations of neural activity alone are vital questions in neural data analysis. Here we aim to better outline the concept of functional…

Neurons and Cognition · Quantitative Biology 2023-12-05 Ian H. Stevenson

The principles of neural encoding and computations are inherently collective and usually involve large populations of interacting neurons with highly correlated activities. While theories of neural function have long recognized the…

Neurons and Cognition · Quantitative Biology 2019-05-14 Christophe Gardella , Olivier Marre , Thierry Mora

Spatio-temporal receptive fields (STRF) of visual neurons are often estimated using spike-triggered averaging of binary pseudo-random stimulus sequences. The spike train of a visual neuron is recorded simultaneously with the stimulus…

Quantitative Methods · Quantitative Biology 2024-07-24 Murat Okatan

We study associative memory neural networks based on the Hodgkin-Huxley type of spiking neurons. We introduce the spike-timing-dependent learning rule, in which the time window with the negative part as well as the positive part is used to…

Disordered Systems and Neural Networks · Physics 2009-11-07 Masahiko Yoshioka

Neural coding is a field of study that concerns how sensory information is represented in the brain by networks of neurons. The link between external stimulus and neural response can be studied from two parallel points of view. The first,…

Neurons and Cognition · Quantitative Biology 2012-03-07 Shinsuke Koyama

Repeating patterns of spike sequences from a neuronal network have been proposed to be useful in the reconstruction of the network topology. Reverberations in a physiologically realistic model with various physical connection topologies…

Neurons and Cognition · Quantitative Biology 2014-07-15 Hao Song , Chun-Chung Chen , Jyh-Jang Sun , Pik-Yin Lai , C. K. Chan

This paper studies the problem of reconstructing a two-dimensional scalar field using a swarm of networked robots with local communication capabilities. We consider the communication network of the robots to form either a chain or a grid…

Robotics · Computer Science 2016-03-09 Ragesh K Ramachandran , Spring Berman

Deep neural networks have surpassed human performance in key visual challenges such as object recognition, but require a large amount of energy, computation, and memory. In contrast, spiking neural networks (SNNs) have the potential to…

Neurons and Cognition · Quantitative Biology 2022-12-02 Melani Sanchez-Garcia , Tushar Chauhan , Benoit R. Cottereau , Michael Beyeler

We present a dual-guided framework for reconstructing unsteady incompressible flow fields using sparse observations. The approach combines optimized sensor placement with a physics-informed guided generative model. Sensor locations are…

Fluid Dynamics · Physics 2025-06-18 Sajad Salavatidezfouli , Henrik Karstoft , Alexandros Iosifidis , Mahdi Abkar

We present a hidden Markov model that describes variation in an animal's position associated with varying levels of activity in action potential spike trains of individual place cell neurons. The model incorporates a coarse-graining of…

Applications · Statistics 2014-12-22 Marc Box , Matt W. Jones , Nick Whiteley

We characterize the computation of motion in the fly visual system as a mapping from the high dimensional space of signals in the retinal photodetector array to the probability of generating an action potential in a motion sensitive neuron.…

Neurons and Cognition · Quantitative Biology 2007-05-23 William Bialek , Rob R. de Ruyter van Steveninck

Simultaneously recorded neurons exhibit correlations whose underlying causes are not known. Here, we use a population of threshold neurons receiving correlated inputs to model neural population recordings. We show analytically that small…

Neurons and Cognition · Quantitative Biology 2010-09-20 Jakob H Macke , Manfred Opper , Matthias Bethge

By using the wavelet transformation (WT), we have analyzed the response of an ensemble of $N$ (=1, 10, 100 and 500) Hodgkin-Huxley (HH) neurons to {\it transient} $M$-pulse spike trains ($M=1-3$) with independent Gaussian noises. The…

Disordered Systems and Neural Networks · Physics 2009-11-07 Hideo Hasegawa

Understanding the neural mechanisms underlying visual computation has long been a central challenge in neuroscience. Recent alignment based approaches have improved the accuracy of decoding visual stimuli from brain activity, yet they…

Neural and Evolutionary Computing · Computer Science 2026-05-07 Xin Wang , Zhuangzhi Gao , Hongyi Qin , Zhongli Wu , Feixiang Zhou , He Zhao

Neurons perform computations, and convey the results of those computations through the statistical structure of their output spike trains. Here we present a practical method, grounded in the information-theoretic analysis of prediction, for…

Neurons and Cognition · Quantitative Biology 2022-03-18 Robert Haslinger , Kristina Lisa Klinkner , Cosma Rohilla Shalizi